What will be the value of ‘ x’ in Pythagorean triplet (41,9,x)? Please give brief explanation using {2m, m²+1,m²-1}.......
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Step-by-step explanation:
We have to use :-
Hypotenuse² = Altitude² + Base²
Hyp² = Alt² + Base²
We should put 41 as the Hypotenuse as it is the biggest number....
41² = 9² + x²
We should find the square of the numbers....
41 x 41 = 9 x 9 + x²
1681 = 81 +x²
x² = 1681-81
x² = 1600
x = 2² x 2² x 2² x 5²
x= 2 x 2 x 2 x 5
∴ x = 40
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